Answer:
[tex]\large\fbox{\green{\underline{Cylinder P :- \blue{ 794.0275 in ³}}}}[/tex]
[tex]\large\fbox{\green{\underline{Cylinder Q :- \blue{1,307.81 in³}}}}[/tex]
Step-by-step explanation:
Volume of cylinder = π × ( radius ) ² × h
1.) Here, radius = 4.25 in and height = 14 in.
Volume of cylinder = π × ( radius ) ² × height
substitute the values
Volume of cylinder P = 3.14 × ( 4.25 in ) ²×14 in.
now, simplify
= 3.14 × 18.0625 in²× 14 in.
= 3.14 × 252.875 in³
multiplying the value
= 794.0275 in³
[tex] \small \: \: \sf \: \fbox{ cirumference \: of \: cylinder \: P \: = {794.0275 in³}}[/tex]
2.) Here, radius = 7 in. and height = 8.5 in.
Volume of cylinder Q = π × ( radius ) ² × height
substitute the values
Volume of cylinder Q = 3.14 × ( 7 in )² × 8.5 in.
Simplify
= 3.14 × 49 in² × 8.5 in.
multiply the values
= 3.14 × 416.5 in³
[tex] \small \sf \fbox{Volume of cylinder Q = 1,307.81 in ³}[/tex]
What is the value of n?
Answer:
n = 28 degree
Step-by-step explanation:
2n + 17 + 2n - 5 + 2n = 180 degree (sum of interior angles of a triangle)
6n +12 = 180
6n = 180 - 12
n = 168/6
n = 28 degree
if 7=42,6=30,5=20 then 3=? find it's value
Answer:
6
Step-by-step explanation:
7=42 is 7*6
6=30 is 6*5
5=20 is 5*4; it's multiplied by the number below it, so 3 will be 3*2
3 = 6
Step-by-step explanation:
Given: 7 = 42, 6 = 30, 5 = 20
7 (x 6) = 42
6 (x 5) = 30
5 (x 4) = 20
Follow the pattern
4 (x 3) = 12
3 (x 2) = 6
3 = 6
The image of a parabolic lens is projected onto a graph. The image crosses the x-axis at –2 and 3. The point (–1, 2) is also on the parabola. Which equation can be used to model the image of the lens?
y = (x – 2)(x + 3)
y = (x – 2)(x + 3)
y = (x + 2)(x – 3)
y = (x + 2)(x – 3)
Answer:
[tex]y =-\frac{1}{2}(x +2)(x - 3)[/tex]
Step-by-step explanation:
Given
[tex]x_1 = -2[/tex]
[tex]x_2 = 3[/tex]
[tex](x,y) = (-1,2)[/tex] --- a point on the parabola
Required
The equation
First, calculate the equation from the zeros
[tex]y =k(x - x_1)(x - x_2)[/tex]
Substitute [tex]x_1 = -2[/tex] and [tex]x_2 = 3[/tex]
[tex]y =k(x - -2)(x - 3)[/tex]
[tex]y =k(x +2)(x - 3)[/tex]
To solve for k, we substitute [tex](x,y) = (-1,2)[/tex]
[tex]2 = k(-1+2)(-1-3)[/tex]
[tex]2 = k(1)(-4)[/tex]
[tex]2 = -4k[/tex]
Divide by -4
[tex]k=\frac{2}{-4}[/tex]
[tex]k=-\frac{1}{2}[/tex]
So, the equation is:
[tex]y =k(x +2)(x - 3)[/tex]
[tex]y =-\frac{1}{2}(x +2)(x - 3)[/tex]
Answer: c
Step-by-step explanation:
30 POINTS HURRY ILL GIVE BRANLIEIST!!!
A landscape architect built a rectangular playground. The length and width of the playground measure 4x and 2x meters. The playground has an area of 800 m^2. How much fencing is needed to fully enclose the playground?
can somebody help me frl frl cause I'm failing
2.8x + x (3)
i need the answer to this math question and show your work please
Find the area of the circle.
Answer:
153.86
Step-by-step explanation:
So first off, what is the formula for finding area of a circle?
Its [tex]\pi r^{2}[/tex]
We know that r(radius), is the distance from one point of the circle to its center.
In this case it is 7.
Note that in other cases, you might see a line going strait through the middle of the circle.
This is the diamater, and is 2x the radius. If you see the diamater, divide it in half, and you will find radius.
Now, back to the problem.
We know our radius is 7, so lets plug that into [tex]\pi r^{2}[/tex]:
[tex]\pi *7^{2}[/tex]
=
[tex]\pi *49[/tex]
=
153.93
So tecnically, this test is wrong. THe actual answer is .07 bigger than what they give.
However, it is the only possible answer, so it is correct.
Answer:
153.86
Hope this helps!
HELP ⚠️⚠️⚠️
WILL GIVE BRAINLIEST⚠️⚠️⚠️
DID THE SHOP MEET THE TARGET?⚠️⚠️
WORTH MANY POINTS!!
Answer:
No the shop did not meet the 65 mean.
Step-by-step explanation:
The mean is the same thing as the average of the sales. So the first six months sales were 52, 82, 71, 92, 51, and 28. the average of these six numbers is 62.66667 which is short of the 65 mean.
52+82+71+92+51+28=376
take that number 376 and divide by the number of months (6)
376/6=62.66667
Hello everyone
Please need this
thank you
Answer:
a. x=9
b. PR = 59
Step-by-step explanation:
a. 11x-40 = 6x+5
11x-6x=5+40
5x=45
x=9
b. PR = 11(9) -40
= 99-40
= 59
How does the pursuit of
justice affect those who
seek it?
Answer:
the pursuit can affect your hands
Brian purchased a rectangular-shaped granite countertop for the island in his kitchen. The granite slab measures
72 inches by 42 inches by 1.25 inches. If the density of granite is 170 pounds per cubic foot, how much does the
countertop weigh in pounds?
HELP ME PLEASE!!!
Answer: [tex]371.8\ \text{Pounds}[/tex]
Step-by-step explanation:
Given
Dimensions of rectangular granite countertop is [tex]72\times 42\times 1.25\ in.^3[/tex]
Density of granite is [tex]\rho=170\ \text{Pounds per cubic ft}[/tex]
Volume of granite countertop
[tex]\Rightarrow V=72\times 42\times 1.25\\\Rightarrow V=3780\ in.^3[/tex]
We know, 1 ft=12 inch
[tex]\therefore V=2.187\ cm^3[/tex]
Weight of granite
[tex]\Rightarrow m=\rho \times V\\\Rightarrow m=170\times 2.1875\\\Rightarrow m=371.8\ \text{Pounds}[/tex]
HELPPPPP!!!! ASAPPPPP!!!!
Answer:
the second one
Step-by-step explanation:
Encuentra en cada producto notable el error o errores,enciérralo y escribe el resultado correcto.
Given:
The equation is:
[tex](2x+3y)(2x-3y)=4x^2+6y^2[/tex]
To find:
The error in the given equation and correct it.
Solution:
We have,
[tex](2x+3y)(2x-3y)=4x^2+6y^2[/tex]
Taking left-hand side, we get
[tex]L.H.S.=(2x+3y)(2x-3y)[/tex]
[tex]L.H.S.=(2x)^2-(3y)^2[/tex] [tex][\because a^2-b^2=(a-b)(a+b)][/tex]
[tex]L.H.S.=(2)^2(x)^2-(3)^2(y)^2[/tex] [tex][\because (ab)^x=a^xb^x][/tex]
[tex]L.H.S.=4x^2-9y^2[/tex]
It is not equal to right-hand side [tex]4x^2+6y^2[/tex]. In the right hand side, there must be a negative sign instead of positive sign.
Therefore, [tex](2x+3y)(2x-3y)=4x^2-6y^2[/tex].
Jeff had 5 apples but ate 2 Kyle had 3 apples but ate 1 kelsea has 8 apples but ate 4
Answer:
jeff has 3 apples left. kyle has 2 apples left. kelsea had 4 apples left.
Step-by-step explanation:
5-2=3
3-1=2
8-4=4
Answer:
jeff 3 apples, kyle 2 apples, kelsea 4 apples
total apples left = 9 apples
total apples eaten = 7 apples
total apples = 16 apples
Step-by-step explanation:
can someone please answer this
Answer:
x = 100
It is on a straight line and so, it equals to 180.
180 - 80 = 100
Rewrite the following polynomial in standard form. -x -7x^2 -10
Please Help
Answer:
-7x^2 - x - 10
Step-by-step explanation:
Rewriting a polynomial in standard form most often involves writing the x terms in descending order by power: x^2, x^1, x^0
Rewrite -x -7x^2 -10 as -7x^2 - x^1 - 10x^0, which is usually simplified to:
-7x^2 - x - 10
This result is in "standard form."
[tex]-7x^2-x-10
[/tex]
Aldo drives a truck for a soft drink company. His truck is filled with 15 ounce cans and 70 ounce bottles. Let c be the number of 15 ounce cans the truck is carrying, and let b be the number of 70 ounce bottles suppose the truck can carry 7000 pounds (112,000 ounces) using the values and variables given write an inequality
Answer:
15c+70b[tex]\leq[/tex]112000
Step-by-step explanation:
Truck could carry 7000 pounds.
There are 15 ounce cans and 70 ounce bottles.
There are 'c' number of 15 ounce cans and 'b' is the number of 70 ounce bottles.
So, C number of cans can carry 15C ounces
'b' number of bottles can carry 70b ounces
So, we can set up inequality as
15c+70b[tex]\leq[/tex]112000
I need help fast with the first question in the page which is the find algebraically in R
Answer:
2x²+5x-6 = 0
using the quadratic formula
x = 0.886 and x= -3.386
A ladder that is 20 feet long leans against the wall of a building such that its base makes a 62 degree angle with the ground. Determine the height, h, that the ladder reaches up the wall. Round your answer to the nearest tenth of a foot.
Answer:
17.7 ft
Step-by-step explanation:
A ladder that is 20 feet long leans against the wall of a building such that its base makes a 62 degree angle with the ground. Determine the height, h, that the ladder reaches up the wall. Round your answer to the nearest tenth of a foot.
We solve using the Trigonometric function of sin
sin = Opposite/Hypotenuse
Opposite = Height = ?
Hypotenuse = Length of the ladder = 20 ft
Hence:
sin 62 = h/20 ft
Cross Multiply
h = sin 62 × 20 ft
h = 17.658951857 ft
Approximately = 17.7 ft
Which expression is equal to 12x
A. 4x + 4x - 4x
B. 24x/2
C. (3x)(4x)
D. 15x - 3
Answer:
B.
Step-by-step explanation:
4x + 4x - 4x = 4x
24x ÷ 2 = 12x
3x • 4x = [tex]12x^2[/tex]
15x - 3 = 15x - 3
Answer:
B. 24x/2
Step-by-step explanation:
12x
A. 4x + 4x - 4x = 8x - 4x = 4x
B. 24x/2 = 24/2 x = 12x
C. (3x)(4x) = 12 x^2
D. 15x - 3 = 15x -3 ( no like terms
Please help I’ll give brainliest
Answer:
3675
Step-by-step explanation:
Calculate the distance of line segment AB.
1 pm
B
A
24 cm
10 cm
с
14
O 25
O 28
0 26
O 31
Answer:
26 cm
Step-by-step explanation:
[tex]a^{2} +b^2=c^2[/tex]
[tex]24^2+10^2=c^2[/tex]
576 + 100 = 676
[tex]\sqrt{676}[/tex] = 26 cm
find x of the circle
Answer:
x= 80
Step-by-step explanation:
Angle Formed by Two Chords = 1/2(sum of Intercepted Arcs)
50 = 1/2 ( 20+x)
Multiply each side by 2
2*50 = 20+x
100 =20+x
Subtract 20 from each side
80 =x
Beth said the distance to school is 2.8 km. The actual distance is 3.5 km. What is the percent error
Answer:
20%
Step-by-step explanation: The percent of error formula is |(theoretical value-actual value)/actual value|=percent of error. Substitute the values in. |(2.8-3.5)/3.5|=|(-0.7)/3.5|=0.2. The percent equal to 0.2 is 20%.
Trong đợt xảy ra một loại dịch bênh X ,người ta điều tra ngẫu nhiên 1600 nhười dân ở một vùng thấy có 160 người đã được tiêm vaccine đủ liều và đúng lịch
Answer:
Probability of an event = 1 / 10
Step-by-step explanation:
Given:
Total number of people in particular area = 1,600
Number of people vaccinated = 160
Find:
Probability[people vaccinated]
Computation;
Probability of an event = Number of favorable outcomes / Total number of outcome
Probability of an event = 160 / 1600
Probability of an event = 16 / 160
Probability of an event = 1 / 10
Eva bought a guitar for $80. Later that guitar was marked down by 35%. By how much has the value been decreased?
Answer:
r
Step-by-step explanation:
Answer:
$52 is the sale price.
Step-by-step explanation:
First find 35% of $80. Multiply .35 x 80 to do this.
.35 x 80 = 28
Then subtract 28 from the original price 80.
80 - 28 = 52
125.315 to two significant figures
Answer: 130
Step-by-step explanation:
The five rounds up making it 130
Help,anyone can help me do quetion
Answer:
a3) x= 83
y= 180-71 = 109
a4) x=53
w= 180-53...
y=x=53
z= 180-y
At sunrise, the outdoor temperature was 2 degrees
below zero. At dusk, the outdoor temperature has
dropped to 15 degrees below zero. What is the distance
between the two temperatures?
Answer: 13 degrees
Step-by-step explanation:
1. - 2<0
2. (- 2)-(-15)=(-2)+15=13
complete the conversion:
5 grams / metres squared = _________ kilograms / hectares
(5g/m2=_________ kg/ha)
Answer:
5 grams/metres squared = 50 kg/hectares
Step-by-step explanation:
We need to convert 5 grams/metres squared to kilograms/hectares.
We know that,
1 kg = 1000 g
1 hectare = 10000 m²
So,
[tex]5\ \dfrac{g}{m^2}=5\times \dfrac{0.001}{\dfrac{1}{10000}}\\\\=50[/tex]
Hence, 5 grams/metres squared = 50 kg/hectares